%0 Journal Article
%T Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Aliev, Fikret
%A Aliev, Nihan
%A Safarova, Nargiz
%A Velieva, Naila
%D 2020
%\ 01/01/2020
%V 8
%N 1
%P 212-221
%! Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations
%K Cauchy problem
%K Linear fractional derivative system
%K Mittag-Leffler function
%K Constant matrix coefficients
%R 10.22034/cmde.2019.9526
%X A new simplified analytical formula is given for solving the Cauchy problem for a homogeneous system of fractional order linear differential equations with constant coefficients (SFOLDECC). The matrix exponential function in this formula is re- placed by a Taylor series. Next, an analytical expression of the integral is obtained, with the help of which, for the transition matrix, a relation is obtained that allows one to obtain a solution of the Cauchy problem with high accuracy. The results also apply to the case of inhomogeneous systems with constant perturbations and are illustrated by numerical examples.
%U https://cmde.tabrizu.ac.ir/article_9526_34e7ba013b67fb9e9218892109264c08.pdf